Answered

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Which algebraic expression represents this word description?

The quotient of four and the sum of a number and three

A. [tex] \frac{x+3}{4} [/tex]

B. [tex] \frac{4}{x+3} [/tex]

C. [tex] \frac{4}{x} + 3 [/tex]

D. [tex] \frac{x}{4} + 3 [/tex]

Sagot :

GinnyAnsweridn
Let's break down the problem step-by-step.

1. Identify the components of the given word description. The phrase "The quotient of four and the sum of a number and three" involves two key parts:
- A quotient, which means a division operation.
- The sum of a number and three.

2. Define the variable:
- Let [tex]\( x \)[/tex] represent the "number" mentioned in the problem.

3. Construct the "sum of a number and three" part of the expression:
- The sum of [tex]\( x \)[/tex] and 3 is written as [tex]\( x + 3 \)[/tex].

4. Formulate the full expression based on the quotient:
- The quotient of four and [tex]\( x + 3 \)[/tex] means we are dividing 4 by [tex]\( x + 3 \)[/tex].

Hence, the algebraic expression representing "The quotient of four and the sum of a number and three" is:
[tex]\[ \frac{4}{x + 3} \][/tex]

Therefore, the correct option is:
B. [tex]\( \frac{4}{x + 3} \)[/tex]
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